Uniformly convergent scheme for Convection-Diffusion problem

International Journal of Applied Mathematics and Computation

K. Sharath Babu²  N. Srinivasacharyulu¹ 

[1] Department of Mathematics,NIT, WARANGAL-506004, ANDHRA PRADESH, INDIA$$;Research scholar$$

关键词: Boundary layer;    Peclet number;    Uniformly convergence;    Perturbation parameter.;   

DOI  :  10.0000/ijamc.2011.3.4.257

来源: PSIT Kanpur

【 摘 要 】

In this paper a study of uniformly convergent method proposed by Il’in –Allen-South well scheme was made. A condition was contemplated for uniform convergence in the specified domain. This developed scheme is uniformly convergent for any choice of the diffusion parameter. The search provides a first- order uniformly convergent method with discrete maximum norm. It was observed that the error increases as step size h gets smaller for mid range values of perturbation parameter. Then an analysis carried out by [16] was employed to check the validity of solution with respect to physical aspect and it was in agreement with the analytical solution. The uniformly convergent method gives better results than the finite difference methods. The computed and plotted solutions of this method are in good – agreement with the exact solution.

【 授权许可】

Unknown